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Let f (x) = x sin 1/x, x ≠ 0, then the value of the function at x = 0, so that f is continuous at x = 0, is
The positive integer n so that limx→3 (x^{n} – 3^{n})/(x – 3) = 108 is
then for f to be continuous at x = 0, f (0) must be equal to
209 videos443 docs143 tests

NCERT Exemplar: Limits and Derivatives Doc  8 pages 
Solved Examples for JEE: Limit, Continuity and Differentiability Video  17:43 min 
JEE Advanced Previous Year Questions (2018  2023): Limits, Continuity and Differentiability Doc  7 pages 
Limits and Derivatives: JEE Mains Previous Year Questions (20212024) Doc  66 pages 
Introduction of Limits Video  04:42 min 
209 videos443 docs143 tests

NCERT Exemplar: Limits and Derivatives Doc  8 pages 
Solved Examples for JEE: Limit, Continuity and Differentiability Video  17:43 min 
JEE Advanced Previous Year Questions (2018  2023): Limits, Continuity and Differentiability Doc  7 pages 
Limits and Derivatives: JEE Mains Previous Year Questions (20212024) Doc  66 pages 
Introduction of Limits Video  04:42 min 